Π£ Π½Π°Ρ Π²Ρ ΠΌΠΎΠΆΠ΅ΡΠ΅ ΠΏΠΎΡΠΌΠΎΡΡΠ΅ΡΡ Π±Π΅ΡΠΏΠ»Π°ΡΠ½ΠΎ A. Shiho - On relative log de Rham-Witt complex ΠΈΠ»ΠΈ ΡΠΊΠ°ΡΠ°ΡΡ Π² ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠΌ Π΄ΠΎΡΡΡΠΏΠ½ΠΎΠΌ ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅, Π²ΠΈΠ΄Π΅ΠΎ ΠΊΠΎΡΠΎΡΠΎΠ΅ Π±ΡΠ»ΠΎ Π·Π°Π³ΡΡΠΆΠ΅Π½ΠΎ Π½Π° ΡΡΡΠ±. ΠΠ»Ρ Π·Π°Π³ΡΡΠ·ΠΊΠΈ Π²ΡΠ±Π΅ΡΠΈΡΠ΅ Π²Π°ΡΠΈΠ°Π½Ρ ΠΈΠ· ΡΠΎΡΠΌΡ Π½ΠΈΠΆΠ΅:
ΠΡΠ»ΠΈ ΠΊΠ½ΠΎΠΏΠΊΠΈ ΡΠΊΠ°ΡΠΈΠ²Π°Π½ΠΈΡ Π½Π΅
Π·Π°Π³ΡΡΠ·ΠΈΠ»ΠΈΡΡ
ΠΠΠΠΠΠ’Π ΠΠΠΠ‘Π¬ ΠΈΠ»ΠΈ ΠΎΠ±Π½ΠΎΠ²ΠΈΡΠ΅ ΡΡΡΠ°Π½ΠΈΡΡ
ΠΡΠ»ΠΈ Π²ΠΎΠ·Π½ΠΈΠΊΠ°ΡΡ ΠΏΡΠΎΠ±Π»Π΅ΠΌΡ ΡΠΎ ΡΠΊΠ°ΡΠΈΠ²Π°Π½ΠΈΠ΅ΠΌ Π²ΠΈΠ΄Π΅ΠΎ, ΠΏΠΎΠΆΠ°Π»ΡΠΉΡΡΠ° Π½Π°ΠΏΠΈΡΠΈΡΠ΅ Π² ΠΏΠΎΠ΄Π΄Π΅ΡΠΆΠΊΡ ΠΏΠΎ Π°Π΄ΡΠ΅ΡΡ Π²Π½ΠΈΠ·Ρ
ΡΡΡΠ°Π½ΠΈΡΡ.
Π‘ΠΏΠ°ΡΠΈΠ±ΠΎ Π·Π° ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ ΡΠ΅ΡΠ²ΠΈΡΠ° ClipSaver.ru
The notion of relative log de Rham-Witt complex, which is the log version of relative de Rham-Witt complex of Langer-Zink, is defined by Matsuue. In this talk, we give the comparison theorem between relative log de Rham-Witt cohomology and relative log crystalline cohomology for log smooth saturated morphism of fs log schemes satisfying certain condition on which p is nilpotent. Our result generalizes most of the previously known results by Illusie, Hyodo-Kato, Langer-Zink and Matsuue. This is a joint work with Kazuki Hirayama.